Showing papers on "Mass formula published in 1989"

Neutralino mass matrix in the minimal supersymmetric model.

Abstract: We study systematically the dependence of the neutralino mass eigenvalues and eigenstates on the parameters of the mixing matrix. Starting from analytical solutions for special values of the parameters we work out various practical approximation formulas for the masses. We examine their applicability in the different regions of parameters accessible with the next generation of accelerators.

A modified Tolman mass-energy formula

Abstract: A modified Tolman mass (energy) formula is derived for spherically symmetric, time-independent systems. In the absence of surfaces of discontinuity, the modified formula has, in contradistinction to the original formula, the following desirable properties: (i) it always gives the correct mass of the system as a whole; (ii) it always gives the correct mass of any portion of the system which is surrounded by vacuum; and (iii) it remains invariant under a rescaling of the time coordinate of the formt →Ct, C=constant. In the presence of surfaces of discontinuity the Tolman mass formula is further modified by the addition of the Israel mass associated with each surface. The resulting formula also has the above three properties. A new exact solution of Einstein's equations which is well behaved everywhere and is, in a sense, a generalization of Florides' new interior Schwarzschild solution is also presented.

On Automorphism Groups of Positive Definite Binary Quaternion Hermitian Lattices and New Mass Formula

Abstract: Publisher Summary This chapter discusses automorphism groups of positive definite binary quaternion Hermitian lattices and new mass formula. It presents a general method on the way to calculate the multiplicity of a given finite group that appears as the automorphism groups of the lattices, up to isometry, in a fixed genus in a positive definite metric space. The method is then applied to the binary quaternion hermitian cases, motivated by the theory of supersingular abelian varieties developed in Katsura–Oort. The chapter presents a problem that can be solved in principle by the means of the trace formula. It reviews lattices in hermitian spaces. It also presents the classification of G -conjugacy classes of some elements of G 2 and presents the calculation of some local data.

Properties of mesons in the statistical model

Abstract: Within the framework of the statistical model, various properties of mesons are studied. The model which leads to an analytical expression for the number density of quark and antiquark, yields a mass formula of the S state levels of , , and families. The level spacing between the ground state and a radially excited state in ψ and ϒ families studied in this model reveals interesting relations between the sizes of the particles. With the wave function suggested from the model as an input, magnetic dipoles decays of π and K mesons have been investigated and reasonable agreement is obtained with the experimental findings (and theoretical estimates in some cases). Numerical estimates of the decay amplitudes of many a vector and pseudoscalar meson, are also found to be in accord with experimental and theoretical values.

Infinite nuclear matter model and a new mass formula for atomic nuclei

Abstract: The ground-state energy of an atomic nucleus with asymmetryβ is considered to be equivalent to the energy of a perfect sphere made up of the infinite nuclear matter of the same asymmetry plus a residual energyη called the local energy,η represents the energy due to shell, deformation, diffuseness and exchange Coulomb effect etc. Using this picture and the generalized Hugenholtz- Van Hove theorem of many-body theory a new mass formula has been developed. Based on this, a mass table containing the mass excesses of 3481 nuclei in the range 18 ⩽A ⩽ 267 has been made. This mass formula is compared with other mass models.

Predictions of a particle model

Abstract: Previous papers began the development of a finite model for particles. Here various predictions of the model are derived. It is shown that the the model predicts a finite number of leptons and basic hadron isospin multiplets (127 to be precise). It predicts a different generation behavior for leptons and quarks than the standard model. A mass formula considered previously is used to predict masses of leptons and mesons that have not yet been observed.